213 citations · 671 across the 26 of their papers we have counts for
26 papers
Contactifications: a Lagrangian description of compact Hamiltonian systems
Katarzyna Grabowska, Janusz Grabowski, Marek Kuś +1
If is a contact form on a manifold such that the orbits of the Reeb vector field form a simple foliation on , then the presymplectic 2-form on ind…
Tomography on f-oscillators
I. V. Dudinets, V. I. Man'ko, G. Marmo +1
Symplectic tomographies of classical and quantum states are shortly reviewed. The concept of nonlinear f-oscillators and their properties are recalled. The tomographic probability…
On pseudo-stochastic matrices and pseudo-positive maps
D. Chruściński, V. I. Man'ko, G. Marmo +1
Stochastic matrices and positive maps in matrix algebras proved to be very important tools for analysing classical and quantum systems. In particular they represent a natural set o…
Groupoids and the tomographic picture of quantum mechanics
A. Ibort, V. I. Manko, G. Marmo +2
The existing relation between the tomographic description of quantum states and the convolution algebra of certain discrete groupoids represented on Hilbert spaces will be discusse…
Stochastic evolution of finite level systems: classical vs. quantum
D. Chruściński, V. I. Man'ko, G. Marmo +1
Quantum dynamics of the density operator in the framework of a single probability vector is analyzed. In this framework quantum states define a proper convex quantum subset in an a…
Two--mode optical tomograms: a possible experimental check of the Robertson uncertainty relations
V. I. Man'ko, G. Marmo, A. Simoni +1
The experimental check of two--mode Robertson uncertainty relations and inequalities for highest quadrature moments is suggested by using homodyne photon detection. The relation be…